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This article is cited in 1 scientific paper (total in 1 paper)
Flexural-gravitational circumferential and radial vibrations of a plate floating on shallow water
V. O. Shemelina Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
Numerical and analytical studies of the natural and quasi-natural flexural-gravitational vibrations of an elastic plate floating on a liquid surface are performed based on shallow-water long-wave theory. Dependences of natural and quasi-natural frequencies on the geometrical parameters of the vibration region are studied for the cases of bounded and unbounded reservoirs. The effect of bottom irregularities in the form of a circular cylinder or a circular truncated cone on the natural and quasi-natural frequencies and functions is studied.
Keywords:
flexural-gravitational vibrations, natural vibrations, hydroelasticity, shallow water, circular plate.
Received: 16.05.2014 Revised: 06.04.2015
Citation:
V. O. Shemelina, “Flexural-gravitational circumferential and radial vibrations of a plate floating on shallow water”, Prikl. Mekh. Tekh. Fiz., 57:3 (2016), 186–195; J. Appl. Mech. Tech. Phys., 57:3 (2016), 550–558
Linking options:
https://www.mathnet.ru/eng/pmtf847 https://www.mathnet.ru/eng/pmtf/v57/i3/p186
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